Short version is "yes they might well do".
Your options if you want to use torrents are buy a seedbox or a VPN located somewhere that does not care (possibly easier said than done) and use them properly. Private sites can work but they are not necessarily safe either -- all the methods you use to sneak onto those sites can also be used by those trying to catch you, there is something to be said for not being low hanging fruit but if you are already in possession of a few warnings then yeah.
We could go long at this point and discuss the protocols, methods of catching you and whatever else but it still boils down to the "your options" line above.
Oh and peerblock is basically useless so don't bother with it.